Respuesta :

Answer:

The answer is option A.

Step-by-step explanation:

To find the length of AC we use cosine

cos∅ = adjacent / hypotenuse

From the question

AC is the adjacent

AB is the hypotenuse

AB = 58

cos 51° = AC / AB

cos 51 = AC / 58

AC = 58 cos 51

AC = 36.5

Hope this helps you

Answer:

36.5

Option A is the correct option

Step-by-step explanation:

In ∆ABC , <A = 51°

For <A = AC = adjacent = X

AB = hypotenuse = 58

Now,

[tex]cos \: theta \: = \frac{adjacent}{hypotenuse} [/tex]

[tex]cos \:a \: = \: \frac{x}{58} [/tex]

[tex]cos \: 51 = \frac{x}{58} [/tex]

[tex]x = 58 \: cos \: (51)[/tex]

[tex]x = 36.5 \: (to \: the \: nearest \: tenth)[/tex]

Hope this helps...

Good luck on your assignment...

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